35584422 divided by 577 
Let's see how many times 577 fits into 35584422.

Going ahead to step 1:
If we divide 3 by 577, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 577

Let's proceed to step 2:
577 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (5) from the dividend, attach it to 35 and continue: 355 / 577

Going ahead to step 3:
If we divide 355 by 577, we get 0 and a remainder of 355.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 355 after subtracting 0 from 355.
Include the next digit (8) from the dividend after 355, then repeat: 3558 / 577

On to step 4:
The number 577 fits into 3558 6 times, leaving a remainder of 96.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 96 after subtracting 3462 from 3558.
Take the next digit (4) from the dividend and append it to 96, then repeat: 964 / 577

Step 5:
577 can be fit into 964 1 times, resulting in a remainder of 387.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtracting 577 from 964 leaves us with 387.
Bring next digit (4) of the dividend behind the 387 and repeat the process: 3874 / 577

Let's proceed to step 6:
577 goes into 3874 6 times with a remainder of 412.
The number 6 becomes the next digit in our result. 
Result so far: 616.0
Subtracting 3462 from 3874 leaves us with 412.
Append the next digit (2) from the dividend to 412 and continue with: 4122 / 577

Moving on to step 7:
577 goes into 4122 7 times with a remainder of 83.
Record the quotient 7 as the next digit in the result. 
Result so far: 6167.0
Subtract 4039 from 4122 to get 83.
Take the next digit (2) from the dividend and append it to 83, then repeat: 832 / 577

Advancing to step 8:
577 can be fit into 832 1 times, resulting in a remainder of 255.
The next digit of our result is 1. 
Result so far: 61671.0
Deduct 577 from 832 and we're left with 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Let's proceed to step 9:
The number 577 fits into 2550 4 times, leaving a remainder of 242.
The number 4 becomes the next digit in our result. 
Result so far: 61671.4
The remainder is 242 after subtracting 2308 from 2550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

Step 10:
When dividing 2420 by 577, we get 4 with a remainder of 112.
Write down 4 as next digit of the result. 
Result so far: 61671.44
Deduct 2308 from 2420 and we're left with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

The final result is 61671.44 with a remainder of 0.112.